Let Aj and A2 be subsets of a set U. Draw a Venn diagram of this...

 

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Let Aj and A2 be subsets of a set U. Draw a Venn diagram of this situation and shade in the subsets A1 N A2, AGn A2, A1 N A,, and Af n AS . Use the resulting diagram and the definition of partition to convince yourself that the subset of these four subsets that are nonempty form a partition of U. Let Aj and A2 be subsets of a set U. Draw a Venn diagram of this situation and shade in the subsets A1 N A2, AGn A2, A1 N A,, and Af n AS . Use the resulting diagram and the definition of partition to convince yourself that the subset of these four subsets that are nonempty form a partition of U.